λ
Harmonic Matrix

318,486

2 × 3 × 7 × 7583
Abundant Even Composite

318,486 has digital root 3. The neighboring primes are 318473 and 318503; its proper-divisor sum differs from the starting integer by 91,092.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 7583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 728,064
Proper Divisor Sum 409,578
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #318473 ← → #318503

Radix Representation

Decimal 318486
Binary 1001101110000010110 (19 bits)
Octal 0o1156026
Hexadecimal 0x4DC16

Divisor Catalog (16)

1 2 3 6 7 14 21 42 7,583 15,166 22,749 45,498 53,081 106,162 159,243 318,486

Collatz Trajectory (171 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

318,486 159,243 477,730 238,865 716,596 358,298 179,149 537,448 268,724 134,362 67,181 201,544 100,772 50,386 25,193 75,580 37,790 18,895 56,686 28,343 85,030 42,515 127,546 63,773 191,320 95,660 47,830 23,915 71,746 35,873 107,620 53,810 26,905 80,716 40,358 20,179 60,538 30,269 90,808 45,404 22,702 11,351 34,054 17,027 51,082 25,541 76,624 38,312 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337

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